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Finding the Third Proportional to 104,380 and 139,828

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Solution

The third proportional to 104,380 and 139,828 is: 187,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,380 : 139,828 = 139,828 : x
  2. Step 2: Convert to fraction form
    104,380/139,828 = 139,828/x
  3. Step 3: Cross multiply
    104,380x = 139,828 × 139,828
  4. Step 4: Simplify right side
    104,380x = 19,551,869,584
  5. Step 5: Solve for x
    x = 19,551,869,584/104,380
  6. Step 6: Final answer
    x = 187,314.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.